{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sparse Approximations\n",
    "\n",
    "\n",
    "The `gp.MarginalSparse` class implements sparse, or inducing point, GP approximations.  It works identically to `gp.Marginal`, except it additionally requires the locations of the inducing points (denoted `Xu`), and it accepts the argument `sigma` instead of `noise` because these sparse approximations assume white IID noise.\n",
    "\n",
    "Three approximations are currently implemented, FITC, DTC and VFE.  For most problems, they produce fairly similar results.  These GP approximations don't form the full covariance matrix over all $n$ training inputs.  Instead they rely on $m < n$ *inducing points*, which are \"strategically\" placed throughout the domain.  Both of these approximations reduce the $\\mathcal{O(n^3)}$ complexity of GPs down to $\\mathcal{O(nm^2)}$ --- a significant speed up.  The memory requirements scale down a bit too, but not as much.  They are commonly referred to as *sparse* approximations, in the sense of being data sparse.  The downside of sparse approximations is that they reduce the expressiveness of the GP.  Reducing the dimension of the covariance matrix effectively reduces the number of covariance matrix eigenvectors that can be used to fit the data.  \n",
    "\n",
    "A choice that needs to be made is where to place the inducing points.  One option is to use a subset of the inputs.  Another possibility is to use K-means.  The location of the inducing points can also be an unknown and optimized as part of the model.  These sparse approximations are useful for speeding up calculations when the density of data points is high and the lengthscales is larger than the separations between inducing points. \n",
    "\n",
    "For more information on these approximations, see [Quinonero-Candela+Rasmussen, 2006](http://www.jmlr.org/papers/v6/quinonero-candela05a.html) and [Titsias 2009](https://pdfs.semanticscholar.org/9c13/b87b5efb4bb011acc89d90b15f637fa48593.pdf)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Examples\n",
    "\n",
    "For the following examples, we use the same data set as was used in the `gp.Marginal` example, but with more data points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-08-28T03:33:52.801767Z",
     "start_time": "2017-08-28T03:33:52.079385Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/anaconda3/lib/python3.6/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  from ._conv import register_converters as _register_converters\n"
     ]
    }
   ],
   "source": [
    "import pymc3 as pm\n",
    "\n",
    "import theano\n",
    "import theano.tensor as tt\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-08-28T03:34:37.358690Z",
     "start_time": "2017-08-28T03:34:29.708517Z"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# set the seed\n",
    "np.random.seed(1)\n",
    "\n",
    "n = 2000 # The number of data points\n",
    "X = 10*np.sort(np.random.rand(n))[:,None]\n",
    "\n",
    "# Define the true covariance function and its parameters\n",
    "ℓ_true = 1.0\n",
    "η_true = 3.0\n",
    "cov_func = η_true**2 * pm.gp.cov.Matern52(1, ℓ_true)\n",
    "\n",
    "# A mean function that is zero everywhere\n",
    "mean_func = pm.gp.mean.Zero()\n",
    "\n",
    "# The latent function values are one sample from a multivariate normal\n",
    "# Note that we have to call `eval()` because PyMC3 built on top of Theano\n",
    "f_true = np.random.multivariate_normal(mean_func(X).eval(), \n",
    "                                       cov_func(X).eval() + 1e-8*np.eye(n), 1).flatten()\n",
    "\n",
    "# The observed data is the latent function plus a small amount of IID Gaussian noise\n",
    "# The standard deviation of the noise is `sigma`\n",
    "σ_true = 2.0\n",
    "y = f_true + σ_true * np.random.randn(n)\n",
    "\n",
    "## Plot the data and the unobserved latent function\n",
    "fig = plt.figure(figsize=(12,5)); ax = fig.gca()\n",
    "ax.plot(X, f_true, \"dodgerblue\", lw=3, label=\"True f\");\n",
    "ax.plot(X, y, 'ok', ms=3, alpha=0.5, label=\"Data\");\n",
    "ax.set_xlabel(\"X\"); ax.set_ylabel(\"The true f(x)\"); plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Initializing the inducing points with K-means\n",
    "\n",
    "We use the NUTS sampler and the `FITC` approximation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-08-28T03:39:03.184846Z",
     "start_time": "2017-08-28T03:34:44.700386Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (2 chains in 2 jobs)\n",
      "NUTS: [σ, η, ℓ]\n",
      "Sampling 2 chains: 100%|██████████| 3000/3000 [01:38<00:00, 30.50draws/s]\n",
      "There was 1 divergence after tuning. Increase `target_accept` or reparameterize.\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model:\n",
    "    ℓ = pm.Gamma(\"ℓ\", alpha=2, beta=1)\n",
    "    η = pm.HalfCauchy(\"η\", beta=5)\n",
    "    \n",
    "    cov = η**2 * pm.gp.cov.Matern52(1, ℓ)\n",
    "    gp = pm.gp.MarginalSparse(cov_func=cov, approx=\"FITC\")\n",
    "\n",
    "    # initialize 20 inducing points with K-means\n",
    "    # gp.util \n",
    "    Xu = pm.gp.util.kmeans_inducing_points(20, X)\n",
    "    \n",
    "    σ = pm.HalfCauchy(\"σ\", beta=5)\n",
    "    y_ = gp.marginal_likelihood(\"y\", X=X, Xu=Xu, y=y, noise=σ)\n",
    "    \n",
    "    trace = pm.sample(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-08-28T03:39:47.274502Z",
     "start_time": "2017-08-28T03:39:03.193266Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 1000/1000 [01:05<00:00, 15.17it/s]\n"
     ]
    }
   ],
   "source": [
    "X_new = np.linspace(-1, 11, 200)[:,None]\n",
    "\n",
    "# add the GP conditional to the model, given the new X values\n",
    "with model:\n",
    "    f_pred = gp.conditional(\"f_pred\", X_new)\n",
    "\n",
    "# To use the MAP values, you can just replace the trace with a length-1 list with `mp`\n",
    "with model:\n",
    "    pred_samples = pm.sample_posterior_predictive(trace, vars=[f_pred], samples=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-08-28T03:42:00.274968Z",
     "start_time": "2017-08-28T03:41:59.288053Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the results\n",
    "fig = plt.figure(figsize=(12,5)); ax = fig.gca()\n",
    "\n",
    "# plot the samples from the gp posterior with samples and shading\n",
    "from pymc3.gp.util import plot_gp_dist\n",
    "plot_gp_dist(ax, pred_samples[\"f_pred\"], X_new);\n",
    "\n",
    "# plot the data and the true latent function\n",
    "plt.plot(X, y, 'ok', ms=3, alpha=0.5, label=\"Observed data\");\n",
    "plt.plot(X, f_true, \"dodgerblue\", lw=3, label=\"True f\");\n",
    "plt.plot(Xu, 10*np.ones(Xu.shape[0]), \"cx\", ms=10, label=\"Inducing point locations\")\n",
    "\n",
    "# axis labels and title\n",
    "plt.xlabel(\"X\"); plt.ylim([-13,13]);\n",
    "plt.title(\"Posterior distribution over $f(x)$ at the observed values\"); plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Optimizing inducing point locations as part of the model\n",
    "\n",
    "For demonstration purposes, we set `approx=\"VFE\"`.  Any inducing point initialization can be done with any approximation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-08-28T03:40:02.849751Z",
     "start_time": "2017-08-28T03:39:48.421441Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/repos/pymc3/pymc3/tuning/starting.py:61: UserWarning: find_MAP should not be used to initialize the NUTS sampler, simply call pymc3.sample() and it will automatically initialize NUTS in a better way.\n",
      "  warnings.warn('find_MAP should not be used to initialize the NUTS sampler, simply call pymc3.sample() and it will automatically initialize NUTS in a better way.')\n",
      "logp = -4,305.9, ||grad|| = 0.13658: 100%|██████████| 127/127 [00:00<00:00, 129.37it/s] \n"
     ]
    }
   ],
   "source": [
    "Xu_init = 10*np.random.rand(20)\n",
    "\n",
    "with pm.Model() as model:\n",
    "    ℓ = pm.Gamma(\"ℓ\", alpha=2, beta=1)\n",
    "    η = pm.HalfCauchy(\"η\", beta=5)\n",
    "    \n",
    "    cov = η**2 * pm.gp.cov.Matern52(1, ℓ)\n",
    "    gp = pm.gp.MarginalSparse(cov_func=cov, approx=\"VFE\")\n",
    "   \n",
    "    # set flat prior for Xu\n",
    "    Xu = pm.Flat(\"Xu\", shape=20, testval=Xu_init)\n",
    "    \n",
    "    σ = pm.HalfCauchy(\"σ\", beta=5)\n",
    "    y_ = gp.marginal_likelihood(\"y\", X=X, Xu=Xu[:, None], y=y, noise=σ)\n",
    "    \n",
    "    mp = pm.find_MAP()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-08-28T03:41:56.410281Z",
     "start_time": "2017-08-28T03:41:54.841763Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mu, var = gp.predict(X_new, point=mp, diag=True)\n",
    "sd = np.sqrt(var)\n",
    "\n",
    "# draw plot\n",
    "fig = plt.figure(figsize=(12,5)); ax = fig.gca()\n",
    "\n",
    "# plot mean and 2σ intervals\n",
    "plt.plot(X_new, mu, 'r', lw=2, label=\"mean and 2σ region\");\n",
    "plt.plot(X_new, mu + 2*sd, 'r', lw=1); plt.plot(X_new, mu - 2*sd, 'r', lw=1);\n",
    "plt.fill_between(X_new.flatten(), mu - 2*sd, mu + 2*sd, color=\"r\", alpha=0.5)\n",
    "\n",
    "# plot original data and true function\n",
    "plt.plot(X, y, 'ok', ms=3, alpha=1.0, label=\"observed data\");\n",
    "plt.plot(X, f_true, \"dodgerblue\", lw=3, label=\"true f\");\n",
    "Xu = mp[\"Xu\"]\n",
    "plt.plot(Xu, 10*np.ones(Xu.shape[0]), \"cx\", ms=10, label=\"Inducing point locations\")\n",
    "\n",
    "plt.xlabel(\"x\"); plt.ylim([-13,13]);\n",
    "plt.title(\"predictive mean and 2σ interval\"); plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
